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In this talk, we show how the Connes-Kreimer Hopf algebra morphism can beextended when taking into account the wave-function renormalization. This leadsus to a semi-direct product of invertible power series by formaldiffeomorphisms.Comment: 5 pages, no figure, talk presented in the conference "Brane New World  and Noncommutative Geometry", Torino, Villa Gualino,(Italy) Octobe

THE HOPF ALGEBRA OF CONNES AND KREIMER AND WAVE FUNCTION RENORMALIZATION